# Kevin Kwan (University College London)

Date

Friday March 24, 20232:30 pm - 3:30 pm

Location

Jeffery Hall, Room 234## Math & Stats Department Colloquium

**Friday, March 24th, 2023**

**Time:** 2:30 p.m. **Place:** Jeffery Hall, Room 234

**Speaker:** Kevin Kwan (University College London)

**Title:** A Moment of Duality

**Abstract:** In this talk, we will discuss some modern perspectives on several classical problems of arithmetic nature dated back to Gauss, Legendre and Dirichlet. We will motivate this subject by concrete questions of dynamical flavors which demonstrate how the presence of "arithmetic" on the manifolds in question (say in terms of group actions, automorphy and duality) can provide elegant solutions to these problems. These problems are furnished by the many connections to spectral theory, harmonic analysis and differential geometry.

Chung-Hang (Kevin) Kwan is currently a research fellow at University College London. He received his Ph.D. from Columbia University in 2022 and his Ph.D. supervisor is Prof. Dorian Goldfeld. He is interested in automorphic forms/ representations/ L-functions and their applications in number theory.